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math.AP2016★ 1 cited
Inertial manifolds for 1D reaction-diffusion-advection systems. Part I: Dirichlet and Neumann boundary conditions
Anna Kostianko, Sergey Zelik
This is the first part of our study of inertial manifolds for the system of 1D reaction-diffusion-advection equations which is devoted to the case of Dirichlet or Neumann boundary…
math.AP2016
Large dispersion, averaging and attractors: three 1D paradigms
Anna Kostianko, Edriss Titi, Sergey Zelik
The effect of rapid oscillations, related to large dispersion terms, on the dynamics of dissipative evolution equations is studied for the model examples of the 1D complex Ginzburg…